Polynomial slow-fast systems on the Poincaré-Lyapunov sphere
type: Item
instance of: scholarly article
title: Polynomial slow-fast systems on the Poincaré-Lyapunov sphere
author: Otavio Henrique Perez
author: Paulo R. da Silva
published in: São Paulo Journal of Mathematical Sciences
publication date: 2025-01-02T00:00:00Z
Mathematics Subject Classification ID: 34C45
Mathematics Subject Classification ID: 34D15
zbMATH DE Number: 7961191
zbMATH Keywords: geometric singular perturbation theory
zbMATH Keywords: invariant manifolds
zbMATH Keywords: Poincaré compactification
zbMATH Keywords: Poincaré-Lyapunov compactification
zbMATH Keywords: polynomial vector fields
MaRDI profile type: Publication
cites work: Bounded Polynomial Vector Fields
cites work: Compactification and desingularization of spaces of polynomial Liénard equations
cites work: Polynomial Liénard equations near infinity
cites work: Quadratic Liénard equations with quadratic damping
cites work: Qualitative theory of planar differential systems
cites work: Canard cycles and center manifolds
cites work: Q4550180
cites work: Cubic Lienard equations with linear damping
cites work: Geometric singular perturbation theory for ordinary differential equations
cites work: Generic Properties of Polynomial Vector Fields at Infinity
cites work: Geometric singular perturbation theory in biological practice
cites work: Dynamics of polynomial systems at infinity
cites work: Extending geometric singular perturbation theory to nonhyperbolic points -- fold and canard points in two dimensions
cites work: Extending slow manifolds near transcritical and pitchfork singularities
cites work: Multiple time scale dynamics
cites work: Classification of global phase portraits of planar quartic quasi-homogeneous polynomial differential systems
cites work: Global dynamics of the Benoît system
cites work: Structural stability of planar quasihomogeneous vector fields
cites work: Q2706801
cites work: Mémoire sur les courbes définies par une équation différentielle.
cites work: Classification of global phase portrait of planar quintic quasi-homogeneous coprime polynomial systems
cites work: Quadratic slow-fast systems on the plane
cites work: Transversal heteroclinic and homoclinic orbits in singular perturbation problems
DOI: 10.1007/S40863-024-00441-8
description: scientific article; zbMATH DE number 7961191